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Finding the Fourth Proportional to 599.11, 827.15 and 458.97

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Solution

The fourth proportional to 599.11, 827.15 and 458.97 is: 633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.11 : 827.15 = 458.97 : x
  2. Step 2: Convert to fraction form
    599.11/827.15 = 458.97/x
  3. Step 3: Cross multiply
    599.11x = 827.15 × 458.97
  4. Step 4: Simplify right side
    599.11x = 379,633.58
  5. Step 5: Solve for x
    x = 379,633.58/599.11
  6. Step 6: Final answer
    x = 633.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.